In a triangle the lengths of two sides are 5 and 9 and the length of the third side is represented by x. Which statement is always true?

A) x > 5
B) x < 9
C) 5 <= x <= 9
D) 4 < x < 14
E) None of these

Show answer

Answer: D) 4 < x < 14

Explanation

D) 4 < x < 14. In any triangle, each side is shorter than the sum of the other two and longer than their difference. So 9 − 5 < x < 9 + 5, which is 4 < x < 14. The other options are not always true: x could be 4.5, below 5, or 13, above 9.

Asked in: SGFL 2017

Topic: Geometry and Mensuration

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In a triangle the lengths of two sides are 5 and 9 and the length of the third side is represented by x. Which statement is always true?

Explanation

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